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Finding the Fourth Proportional to 5,690.75, 7,851.06 and 4,202.24

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Solution

The fourth proportional to 5,690.75, 7,851.06 and 4,202.24 is: 5,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.75 : 7,851.06 = 4,202.24 : x
  2. Step 2: Convert to fraction form
    5,690.75/7,851.06 = 4,202.24/x
  3. Step 3: Cross multiply
    5,690.75x = 7,851.06 × 4,202.24
  4. Step 4: Simplify right side
    5,690.75x = 32,992,038.37
  5. Step 5: Solve for x
    x = 32,992,038.37/5,690.75
  6. Step 6: Final answer
    x = 5,797.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.